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Observation…. How is problem #1 different from problem #2?. How is problem #3 different from problem #4?. 5x = 20. 3). 214 = y + 112. 1). This is a one -step equation. This is a one -step equation. 214 = 2 y + 112. 5x - 25 = 20. 4). 2). This is a two -step equation.
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Observation… How is problem #1 different from problem #2? How is problem #3 different from problem #4? 5x = 20 3) 214 = y + 112 1) This is a one-step equation. This is a one-step equation. 214 = 2y + 112 5x - 25 = 20 4) 2) This is a two-step equation. This is a two-step equation.
Solving equations in two steps Goal: 1st step: 2nd step: Tips:
get the variable (letter) by itself. - 8 = 12 = 20 x x 4 4 Solving equations in two steps Goal: undo addition or subtraction 1st step: 3x + 10 = 37 -10 -10 +8 +8 4 3x = 27 4 2nd step: undo multiplication or division 3 3 x = 80 x = 9 Circle your answer. SHOW YOUR WORK! Draw a line down the equal sign. Cross #s out when they’re cancelled. Read the equation. Tips:
Example Problems Solve for the variable: 6a – 14 = 10 + 14 +14 - 7 - 7 6a = 24 2 • = 3 • 2 • 6 6 a = 4 X = 6
Practice Problems 29 = 8 + 3y - 8 - 8 - 7 - 7 21 = 3y 3 3 7 = y 36 = w
4.2y + 6.18 = 50.7 - 6.18 - 6.18 - 25 - 25 4.2 y = 44.52 9 • • 9 4.2 4.2 x = 684 y = 10.6
The Petite River is 46 miles long. The Zigzag River is 114 miles longer than twice the Petite River. How long is the Zigzag River? z = 114 + 2 • 46 z = 114 + 92 z = 206 The Zigzag River is 206 miles long.
Max is 13 years old. His age is 2 more than his father’s age divided by 4. How old is Max’s dad? 13 = 2 + - 2 - 2 4 • • 4 44 = d Max’s dad is 44 years old.